Question

In: Statistics and Probability

The population mean and standard deviation are given below. Find the required probability and determine whether...

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of

n=70

find the probability of a sample mean being greater than

214

if

μ =213

and

σ =3.5

Solutions

Expert Solution

Population mean (μ) =213

Population standard deviation (σ) =3.5

Sample Size (n) =70

We have to find, P(X̄ > 214);

We will consider the assumption of Normal distribution from which we get,

Z ~ N(0,1); Therefore,

z table :

orchestra answered 1 year ago
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